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# A rectangular region has a fence along three sides and a

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A rectangular region has a fence along three sides and a [#permalink]

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08 Oct 2006, 10:01
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A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?

A. 4
B. 8
C. 16
D. 32
E. 64
[Reveal] Spoiler: OA

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Last edited by Bunuel on 26 Jun 2013, 02:34, edited 1 time in total.
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08 Oct 2006, 10:08
A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?

A. 4 B. 8 C. 16 D. 32 E. 64
two sides EACH = x the third = 2x and the wall length is thus 2x too

x*2x = 2x^2 = 128 ie x^2 = 64 ie x = 8

L = 16 W=8

TOTAL LENGHT OF FENCE = 2*8+16 = 32

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08 Oct 2006, 13:21
32

2x * x = 128
2x^2 = 128
x^2 = 64
x = 8

perimeter = 2x + x + x = 4x = 4(8) = 32
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08 Oct 2006, 23:57
x = 2y
x * y = 128
2y^2 = 128
y = 8
x = 16

fence = y + y + x = 32
D
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Re: A rectangular region has a fence along three sides and a [#permalink]

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26 Jun 2013, 02:29
How do you solve this one and what's the OA?
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Re: A rectangular region has a fence along three sides and a [#permalink]

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26 Jun 2013, 02:37
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fozzzy wrote:
How do you solve this one and what's the OA?

A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?
A. 4
B. 8
C. 16
D. 32
E. 64

The fenced side opposite the wall = 2x.
Each of the other two fenced sides = x.

The area = 2x*x=128 --> x=8.

The total length of the fence = x + x + 2x = 4x = 32 feet.

Hope it's clear.
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Re: A rectangular region has a fence along three sides and a [#permalink]

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14 Oct 2013, 01:32

2x ^ 2 = 128
x = 8

4x = Perimeter of fence = 32 (Answer = D)
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Re: A rectangular region has a fence along three sides and a [#permalink]

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17 Aug 2016, 15:34
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Re: A rectangular region has a fence along three sides and a   [#permalink] 17 Aug 2016, 15:34
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